100333301212221 has 32 divisors (see below), whose sum is σ = 168407124707328. Its totient is φ = 51615164399040.

The previous prime is 100333301212087. The next prime is 100333301212321. The reversal of 100333301212221 is 122212103333001.

It is a de Polignac number, because none of the positive numbers 2^k-100333301212221 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100333301212191 and 100333301212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100333301212021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2108438806 + ... + 2108486391.

It is an arithmetic number, because the mean of its divisors is an integer number (5262722647104).

Almost surely, 2^{100333301212221} is an apocalyptic number.

100333301212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100333301212221 is a deficient number, since it is larger than the sum of its proper divisors (68073823495107).

100333301212221 is a wasteful number, since it uses less digits than its factorization.

100333301212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216925321.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 100333301212221 its reverse (122212103333001), we get a palindrome (222545404545222).

The spelling of 100333301212221 in words is "one hundred trillion, three hundred thirty-three billion, three hundred one million, two hundred twelve thousand, two hundred twenty-one".